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Finding the Fourth Proportional to 99.28, 148.64 and 77.84

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Solution

The fourth proportional to 99.28, 148.64 and 77.84 is: 116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.28 : 148.64 = 77.84 : x
  2. Step 2: Convert to fraction form
    99.28/148.64 = 77.84/x
  3. Step 3: Cross multiply
    99.28x = 148.64 × 77.84
  4. Step 4: Simplify right side
    99.28x = 11,570.14
  5. Step 5: Solve for x
    x = 11,570.14/99.28
  6. Step 6: Final answer
    x = 116.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.